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2030313012 = 2237133595179
BaseRepresentation
bin111100100000100…
…0001111000110100
312020111101120212020
41321001001320310
513124230004022
6533244353140
7101212242630
oct17101017064
95214346766
102030313012
11952071242
12487b457b0
1326482b960
14153909dc0
15bd39e35c
hex79041e34

2030313012 has 96 divisors (see below), whose sum is σ = 5848012800. Its totient is φ = 533872512.

The previous prime is 2030313007. The next prime is 2030313013. The reversal of 2030313012 is 2103130302.

It is a junction number, because it is equal to n+sod(n) for n = 2030312982 and 2030313000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2030313013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 389439 + ... + 394617.

It is an arithmetic number, because the mean of its divisors is an integer number (60916800).

Almost surely, 22030313012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2030313012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2924006400).

2030313012 is an abundant number, since it is smaller than the sum of its proper divisors (3817699788).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2030313012 is a wasteful number, since it uses less digits than its factorization.

2030313012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5565 (or 5563 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 2030313012 is about 45058.9947957120. The cubic root of 2030313012 is about 1266.2544928860.

Adding to 2030313012 its reverse (2103130302), we get a palindrome (4133443314).

The spelling of 2030313012 in words is "two billion, thirty million, three hundred thirteen thousand, twelve".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 359 364 546 718 1077 1092 1436 2154 2513 4308 4667 5026 5179 7539 9334 10052 10358 14001 15078 15537 18668 20716 28002 30156 31074 32669 36253 56004 62148 65338 67327 72506 98007 108759 130676 134654 145012 196014 201981 217518 269308 392028 403962 435036 471289 807924 942578 1413867 1859261 1885156 2827734 3718522 5577783 5655468 7437044 11155566 13014827 22311132 24170393 26029654 39044481 48340786 52059308 72511179 78088962 96681572 145022358 156177924 169192751 290044716 338385502 507578253 676771004 1015156506 2030313012